Find: O d: x-6,X-1 dy 3 23=Sin (cos 8x)

Q: What is y' of y = sin¹ (cos x)? O A. y' = ATHE sin + 1-cos² 1 O B. y' = 1 OC. y'= sin z 1-cos² z OD.…

A:

Q: Q2/a) Find the integral f tan5x dx cos³x b) Find the integral cos*x dx 1-sinx

A:

Q: y = Cje" cos 3x + C2e2 sin 3x %3D

A: Given,      y=C1e2x cos 3x +C2e2x sin 3x

Q: Q5-Find for x? + cos(xy) = y dx

A:

Q: b. Show that 0s cos ay dA s where R= (0. G ) sin Ax

A: This is a problem of double integration and inequality.

Q: Transform F(s) (giving you cos 5t + t³

A:

Q: = cos(x + y), when x = 0, y = " %3D

A:

Q: Evaluate cos zV1+ cos². dædy

A: Given double integral is                    T=∫01∫arcsinyπ2 cosx1+cos2x dxdy ⋯⋯⋯⋯⋯⋯ (1)

Q: d²y Given that y = -4x cos 2x +4 sin 2x, find dx² at x = 2

A: Given: y=-4xcos2x+4xsin2x

Q: dy Find for y = sin (2x +3) da %3D Ans=

A:

Q: dy iven that x = e" cos 3t, y=e" sin3t, show that tan 3t + dx %3D 4

A:

Q: Simplify (if necessary) then 2 Compute: y" +Éy' for a2 y(z) = rar (zx+ cosx')] [6(cosh2x- sinh2x)] d…

A: given yz=∂2∂x∂zz2x+cosx96cosh2x-6sinh2x36cos2πxddx3x2 claim- if necessary simplify then compute the…

Q: (D³ + 3D + 4D³ + 12D²) y = 32 cos (2x) +3e3 – 16 sin (2) -

A:

Q: Find F(s). F(s) = L{(1 et + 5e-3t)cos(6t)}

A:

Q: Use at least 6 decimal places of accuracy 1. C sin (z² + 2) dx using n = 6 2. √ √² +6dz √² +6 dz…

A:

Q: . Find the qeueral solution: - 2 dy +5y = ex Cos 2x

A: Complete solution = complementary function + particular integral.

Q: The substitution u = tan |converts the integral 2 π/3 1 dx to: n/2 2 +sin x - coS X

A: Given,∫π22π312+sinx-cosx

Q: derive 8t sin t (d) s %3D cos t t5

A:

Q: Find Sinczx), COSCZX), and tan(zx) from the information Cos Cx) = 07(めつら) %3D(x2)U:S %3D(x2)Unt

A:

Q: de B: Evaluate the 2m a-cos20 when z = et and Iz| = 1. %3D

A:

Q: Given y = cos(3x), find O O 3 2- * N O √3 3√3 dy at x = 5

A:

Q: L(cos at) = %3D s2 - a2 صواب İhi O

A: Given that  L(cosat)=s/(s^2-a^2) To find the condition is true or false

Q: Let I = 3x*cos (x) dx. The approximation of / using the two- formula is:

A:

Q: (b) Find, where y= cos ecx- dx -4x+7

A:

Q: Determine c, and c2 so that y(x) = c, sin 2x + c2 cos 2x + 1 will satisfy the conditions y () = 0…

A: Consider the function: yx=c1sin 2x+c2cos 2x+1. Calculate c1 and c2. Given yπ8=0 and y'π8=2.   Since…

Q: Suppose r(t) = cos(nt) i + sin(at) j + 5tk represents the position of a particle on a helix, where z…

A:

Q: ,In sec2(sin2y)dy can be evaluated by writing it as sec2y (A @ In sec2( sin2y) · cos2ydy ®/…

A:

Q: T=V3 + cos 0 is given by:

A: Trrr

Q: Let f(x, y) = 2e sin(4) of д х of dy Check Answer

A:

Q: Show that r = cos(2pi) is symmetric about the y-axis.

A: The solution of the problem is given in the next step.

Q: Find dy for the following expressions: dx а) y = x5 In(3x) b) у %3D 2 cos + 2x3 3x2 + 7x + cos (x) y…

A:

Q: cos(4x) dx - Find the Cauchy principle value (showing details): J (+5x2+4)

A: Given integral is, I=∫-∞∞cos4xdxx4+5x2+4 So, the function is, fz=cos4xdxx4+5x2+4 Now, consider the…

Q: f(8,t) = cos os(0e*) + cos( + e*) = COS + cos (s+

A: Find partial derivative.

Q: (D² – 3D + 2) y = 14 sin 2x – 18 cos 2x

A:

Q: d (cos² 2x)=-2sin 4.x dx 12 Show that %3D

A:

Q: a) cos(xy)=2y, find y' DI y = cot-1 1+x 1-x

A:

Q: Obtain the der a) cos(xy)=2y, find y'

A:

Q: Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1 will satisfy the conditions y(pi/8) = 0…

A:

Q: Q2) a) Find an® sec²y dy b) Is cos4xv2-stn4x dx = (2- sin4x) +Ctrue or false? show me

A: Use fundamental theorem of calculus for part (a)  For part (b) use substitution method

Q: Find the points of inflection and discuss the concavity of f(x) = 2 cos (3x/2) on (0,2pi)

A:

Q: Find y" at (2,4) for cos(x²y + 5) = 16. %3D

A:

Q: Given G(x, y) = y* sin(2x) + x2(y10- cos(y?))".Find Gyyxxxy- a. - 192 sin(2x) Ob. -192 cos(2x) OC. -…

A: Given:   G(x,y)=y4 sin (2x) + x2 y10-cos (y2)7       ....(1)To find:  Gy y…

Q: Determine cı and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1 will satisfy the conditions y () = 0…

A:

Q: dy Find for the following expressions: dx а) y = x³ In(3x) b) y = 2 cos (+ 2x3) X 3x2 + 7x + cos (x)…

A:

Q: y 3x+ 6 cosx, 0 £xs 2n

A:

Q: Find a trig substitution r = f(@) that makes 1 dr = cos 0 de. (V4+)3

A: Here we have to substitute x =f(θ)

Q: I need help understanding this calculus question

A: To compute the value of the integral over the curve C.

Q: Is this correct?

A:

Q: (i) f(t)= est+cos 4t

A: According to company's rules, I need to solve first question when multiple questions are posted...…